If \( n \) is a positive integer satisfying the equation \( \mathrm...

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If \( n \) is a positive integer satisfying the equation
\( \mathrm{P} \)
\[
2+\left(6 \cdot 2^{2}-4 \cdot 2\right)+\left(6 \cdot 3^{2}-4 \cdot 3\right)+\ldots+\left(6 \cdot n^{2}-4 \cdot n\right)=140
\]
W then the value of \( n \) is
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